A. When two or more waves overlap in a medium, the net displacement of any particle is the algebraic sum of the displacements due to each individual wave
2.
Which of the following is the mathematical statement of the Principle of Superposition for n waves?
A.
y(x,t) = f₁(x−vt) only if f₂ = f₃ = … = 0
B.
y(x,t) = Σᵢ fᵢ(x − vt), the resultant wave function is the sum of individual wave functions
C.
y(x,t) = max[f₁, f₂, …, fₙ], only the largest displacement survives
D.
y(x,t) = Π fᵢ(x − vt), the resultant is the product of individual wave functions
B. y(x,t) = Σᵢ fᵢ(x − vt), the resultant wave function is the sum of individual wave functions
3.
When two wave pulses travelling in opposite directions overlap at a point and their algebraic sum of displacements is zero at that instant, which statement is correct?
A.
The pulses pass through each other and each continues with its original shape and speed after the overlap region
B.
Both pulses are permanently destroyed at the overlap point
A. Linear media where the restoring force is proportional to displacement (Hooke's law applies)
5.
Two sinusoidal waves y₁ = a sin(kx − ωt) and y₂ = a sin(kx − ωt + φ) with equal amplitudes and frequencies travel in the same direction. Using superposition, the resultant displacement is:
For two waves y₁ = a sin(kx−ωt) and y₂ = a sin(kx−ωt+φ), the resultant amplitude is 2a cos(φ/2). For what value of phase difference φ is the resultant amplitude maximum?
